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Popular >

simplify 2(-3/2)^2

Solution

simplify

2 (- \frac{3}{2})^{2}

Solution

\frac{9}{2}

+1

Decimal Notation

4.5

Solution steps

2 (- \frac{3}{2})^{2}

Apply exponent rule:

(- a)^{n} = a^{n},

if

n

is even

(- \frac{3}{2})^{2} = (\frac{3}{2})^{2}

= 2 (\frac{3}{2})^{2}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

(\frac{3}{2})^{2} = \frac{3 ^{2}}{2 ^{2}}

= 2 \cdot \frac{3 ^{2}}{2 ^{2}}

3^{2} = 9

= 2 \cdot \frac{9}{2 ^{2}}

2^{2} = 4

= 2 \cdot \frac{9}{4}

2 \cdot \frac{9}{4} = \frac{9}{2}

= \frac{9}{2}

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Frequently Asked Questions (FAQ)

What is 2(-3/2)^2 ?
The solution to 2(-3/2)^2 is 9/2